84126144 has 56 divisors (see below), whose sum is σ = 225308160. Its totient is φ = 27698944.

The previous prime is 84126139. The next prime is 84126151. The reversal of 84126144 is 44162148.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13297 + ... + 18575.

It is an arithmetic number, because the mean of its divisors is an integer number (4023360).

Almost surely, 2^84126144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

84126144 is an abundant number, since it is smaller than the sum of its proper divisors (141182016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84126144 is a wasteful number, since it uses less digits than its factorization.

84126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5367 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 84126144 is about 9172.0305276422. The cubic root of 84126144 is about 438.1710305571.

The spelling of 84126144 in words is "eighty-four million, one hundred twenty-six thousand, one hundred forty-four".